`1 mol` of an ideal gas at `25^(@)C` is subjected to expand reversibly `10` times of its initial volume. Calculate the change in entropy of expansions.

Answer

19.15 j//k//mol`

Explanation

Sol, -Wehave, `Delta S = (q_(1))/(T) = (2.303 nRT log_("to"). (V_(2))/(V_(1)))/(T)`
Given `n = 1, R = 8.314J, T = 298 K, V_(1) = V, V_(2) = 10V`
`:. Delta S = 2.303 xx 1 xx 8.314 log_("to"). (10V)/(V) = 19.15 JK^(-1) mol^(-1)`